Your Scores for the 20 Surprise Math Quizzes Last Semester $$\begin{array} { l l l l l l l l l l l } 5.5&9.5&10.0&3.5&8.0&9.5&7.5&6.5&6.0&8.0\\8.0&8.5&7.5&6.0&8.0&10.0&10.0&8.5&7.&8.0\end{array}$$

Short Answer

Your scores for the 20 surprise math quizzes last semester were (out of 10) $$\begin{array} { l l l l l l l l l l l } 5.5&9.5&10.0&3.5&8.0&9.5&7.5&6.5&6.0&8.0\\8.0&8.5&7.5&6.0&8.0&10.0&10.0&8.5&7.&8.0\end{array}$$ Use these raw data to construct a frequency table: $$\begin{array} { l | l | l | l | l | } \hline \text { Score } & 2.1 - 4.0 & 4.1 - 6.0 & 6.1 - 8.0 & 8.1 - 10.0 \\\hline \text { Frequency } & & & & \\\hline\end{array}$$ ​
Find the probability distribution using the (rounded) midpoint values as the values of X. $$\begin{array} { c | l | l | l | l | } \hline x & 3.0 & 5.0 & 7.0 & 9.0 \\\hline P ( X = x ) & & & & \\\hline\end{array}$$